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Finding the Fourth Proportional to 5,713.86, 8,563.74 and 2,592.98

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Solution

The fourth proportional to 5,713.86, 8,563.74 and 2,592.98 is: 3,886.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.86 : 8,563.74 = 2,592.98 : x
  2. Step 2: Convert to fraction form
    5,713.86/8,563.74 = 2,592.98/x
  3. Step 3: Cross multiply
    5,713.86x = 8,563.74 × 2,592.98
  4. Step 4: Simplify right side
    5,713.86x = 22,205,606.55
  5. Step 5: Solve for x
    x = 22,205,606.55/5,713.86
  6. Step 6: Final answer
    x = 3,886.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.